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Finding the Fourth Proportional to 27,339.81, 40,998.12 and 8,614.81

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Solution

The fourth proportional to 27,339.81, 40,998.12 and 8,614.81 is: 12,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,339.81 : 40,998.12 = 8,614.81 : x
  2. Step 2: Convert to fraction form
    27,339.81/40,998.12 = 8,614.81/x
  3. Step 3: Cross multiply
    27,339.81x = 40,998.12 × 8,614.81
  4. Step 4: Simplify right side
    27,339.81x = 353,191,014.16
  5. Step 5: Solve for x
    x = 353,191,014.16/27,339.81
  6. Step 6: Final answer
    x = 12,918.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.